Question

a band has 7 new songs and wants to put 5 of them on a demo cd. how many different arrangements of 5 songs are possible?

Answer 1

2520 arrangements

Explanation:

There are 7 songs.

There are 5 songs in the demo CD.

You have a choice of any of the 7 songs for the first song.

Then you are left with 6 choices for the second song.

After that, you have 5 choices for the third song.

And it goes on.

Number of arrangements

= 7 x 6 x 5 x 4 x 3

= 2520